153457096 has 128 divisors (see below), whose sum is σ = 352447200. Its totient is φ = 61931520.

The previous prime is 153457027. The next prime is 153457103. The reversal of 153457096 is 690754351.

It can be written as a sum of positive squares in 16 ways, for example, as 1822500 + 151634596 = 1350^2 + 12314^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102116 + ... + 2102188.

Almost surely, 2^153457096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153457096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176223600).

153457096 is an abundant number, since it is smaller than the sum of its proper divisors (198990104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153457096 is a wasteful number, since it uses less digits than its factorization.

153457096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 153457096 is about 12387.7801078321. The cubic root of 153457096 is about 535.3802240774.

The spelling of 153457096 in words is "one hundred fifty-three million, four hundred fifty-seven thousand, ninety-six".